Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains

Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains

This thesis will present new results involving Hardy and Hardy-Sobolev-Maz'ya inequalities for fractional integrals. There are two key ingredients to many of these results. The first is the conformal transformation between the upper halfspace and the unit ball. The second is the pseudosymmetric...

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Bibliographic Details
Main Author: Sloane, Craig Andrew
Published: Georgia Institute of Technology 2011
Subjects:
Maz'ya
Hardy
Sobolev spaces
Inequalities
Rearrangments
Functional analysis
Inequalities (Mathematics)
Fractional integrals
Online Access:http://hdl.handle.net/1853/41125

Internet

http://hdl.handle.net/1853/41125

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